The new heavy CP-even scalar \(S\)  is a subject of constraints from
many negative searches at the LHC. Since the CP-even field of the
Higgs doublet can be written as \(h=H~c_{\alpha }+S~s_{\alpha }\) , then
the scalar S has the same SM-liked Higgs couplings to the SM fermions
and gauge bosons scaled either by \(s_{\alpha }\)  or \(s_{\alpha }^{2}\) .
Therefore, it decays to SM final states, di-Higgs final state or via
other invisible or undetermined channels according to the model field
content. This allows different search types: the first one is for
the heavy CP-even resonance in the channels of pair of leptons, jets
or gauge bosons \(pp\rightarrow S\rightarrow \ell \ell ,jj,VV\) . The second
search type is via a resonant di-Higgs production \(pp\rightarrow S\rightarrow HH\) .
For the first type, we consider the recent ATLAS analysis at \(13~\mathrm {TeV}\) 
with 139 \(\mathrm {fb}^{-1}\)  \(pp\rightarrow S\rightarrow \tau \tau \)  [1]},
and \(pp\rightarrow S\rightarrow ZZ\)  via the channels \(\ell \ell \ell \ell \) 
and \(\ell \ell \nu \nu \)  [2]}, in addition to the
CMS analysis at \(13~\mathrm {TeV}\)  with 137 \(\mathrm {fb}^{-1}\)  \(pp\rightarrow S\rightarrow WW\)  [3]}.
For the second type, we consider the recent ATLAS combination [4]},
that includes the analyses at \(13~\mathrm {TeV}\)  with 139 \(\mathrm {fb}^{-1}\) 
via the channels \(HH\rightarrow b\bar{b}\tau \tau \)  [5]},
\(HH\rightarrow b\bar{b}b\bar{b}\)  [6]} and \(HH\rightarrow b\bar{b}\gamma \gamma \)  [7]}.
